The equation of a progressive wave is y-0-02 sin 2-t0-01-x0-30- Here- x and y are in meter and t is in second- The velocity propagation of the wave is

The correct option is B 30 ms^ 1 Comparing #160;the given wave equation with y (x, t) = A sin (ω t kx) , #160;We get, #160; k = 2π0.3 Comp ...

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Standard XII

Physics

Need for Intensity

The equation ...

Question

The equation of a progressive wave is $y = 0.02 s i n 2 π [\frac{t}{0.01} - \frac{x}{0.30}]$
Here, $x$ and $y$ are in meter and $t$ is in second. The velocity propagation of the wave is

300 m s^{- 1}

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30 m s^{- 1}

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400 m s^{- 1}

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40 m s^{- 1}

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Solution

The correct option is B $30 m s^{- 1}$
Comparing the given wave equation with
$y (x, t) = A sin (ω t - k x)$ ,

We get, $k = \frac{2 π}{0.3}$
Comparing the wave equations, we get
$ω = \frac{2 π}{0.01}$
Wave speed, $v = \frac{ω}{k} = 30$ $m / s$

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The equation of a progressive wave is y=0.02sin2π[t0.01−x0.30] Here, x and y are in meter and t is in second. The velocity propagation of the wave is

The correct option is B 30 ms−1Comparing the given wave equation withy(x,t)=Asin(ωt−kx), We get, k=2π0.3Comparing the wave equations, we getω=2π0.01Wave speed, v=ωk=30 m/s

The equation of a progressive wave is $y = 0.02 s i n 2 π [\frac{t}{0.01} - \frac{x}{0.30}]$
Here, $x$ and $y$ are in meter and $t$ is in second. The velocity propagation of the wave is

The correct option is B $30 m s^{- 1}$
Comparing the given wave equation with
$y (x, t) = A sin (ω t - k x)$ ,

We get, $k = \frac{2 π}{0.3}$
Comparing the wave equations, we get
$ω = \frac{2 π}{0.01}$
Wave speed, $v = \frac{ω}{k} = 30$ $m / s$